478395042840 has 1152 divisors, whose sum is σ = 1941235994880. Its totient is φ = 105229808640.

The previous prime is 478395042817. The next prime is 478395042899. The reversal of 478395042840 is 48240593874.

478395042840 is a `hidden beast` number, since 4 + 78 + 3 + 9 + 504 + 28 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1024400287 + ... + 1024400753.

It is an arithmetic number, because the mean of its divisors is an integer number (1685100690).

Almost surely, 2^478395042840 is an apocalyptic number.

478395042840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478395042840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970617997440).

478395042840 is an abundant number, since it is smaller than the sum of its proper divisors (1462840952040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

478395042840 is a wasteful number, since it uses less digits than its factorization.

478395042840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 478395042840 in words is "four hundred seventy-eight billion, three hundred ninety-five million, forty-two thousand, eight hundred forty".